LCM of 472 and 477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 472 and 477 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 225144 as output. Here you can check the answer for Find the LCM of 472 and 477.
What is LCM of 472 and 477
Given Numbers are 472, 477
We can find the LCM of 472, 477 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 472 and 477
Multiples of 472 =472,944,1416,1888,2360,2832,3304,3776,4248,4720,5192,5664,6136,6608,7080,7552,8024,
Multiples of 477 =477,954,1431,1908,2385,2862,3339,3816,4293,4770,5247,5724,6201,6678,7155,7632,8109,
Now, get the least common multiple of 472, 477 which is 225144
So, the LCM of 472, 477 is 225144.
Least Common Multiple (LCM) of 472 and 477 with the help of Prime Factorisation
One method for determining the LCM of 472 and 477 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 472's prime factorization:
| 2 | 472 |
| 2 | 236 |
| 2 | 118 |
| 59 | 59 |
| 1 |
Prime factors of 472 are 2,59.
472 = 23×591
And this is 477's prime factorization:
| 3 | 477 |
| 3 | 159 |
| 53 | 53 |
| 1 |
Prime factors of 477 are 3,53.
477 = 32×531
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,59, 3,53
.23×32×531×591 = 225144
This shows that the LCM of 472 and 477 is 225144.
How to Calculate the LCM of 472 and 477 Using Common Multiples
The first step in determining the Least Common Multiple of 472 and 477 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 472 and 477:
Lets look at the first ten multiples of these numbers, 472 and 477:
472,944,1416,1888,2360,2832,3304,3776,4248,8024 are the first ten multiples of 472.
477,954,1431,1908,2385,2862,3339,3816,4293,8109 are the first ten multiples of 477.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 472 and 477, for example, are 5664, 8024, and 7632. 225144 is the least common multiple since it is the smallest.
472 and 477 have an LCM of 225144.
Least Common Multiple of 472 and 477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 472 and 477, than apply into the LCM equation.
GCF(472,477) = 1
LCM(472,477) = ( 472 × 477) / 1
LCM(472,477) = 225144 / 1
LCM(472,477) = 225144
Related Least Common Multiples of 472
Related Least Common Multiples of 477
Frequently Asked Questions on LCM of 472 and 477
1. What is the LCM of 472 and 477?
The LCM of 472 and 477 is 225144.
2. How to find the lowest common multiple of 472 and 477?
To find the lowest common multiple of 472 and 477, we have to get the multip;es of both numbers and identify the least common multiple in them which is 225144.
3. What are the Factors of 472?
Answer: Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. There are 8 integers that are factors of 472. The greatest factor of 472 is 472.
4. What are the Factors of 477?
Answer: Factors of 477 are 1, 3, 9, 53, 159, 477. There are 6 integers that are factors of 477. The greatest factor of 477 is 477.
5. How to Find the LCM of 472 and 477?Answer:
Least Common Multiple of 472 and 477 = 225144
Step 1: Find the prime factorization of 472
472 = 2 x 2 x 2 x 59
Step 2: Find the prime factorization of 477
477 = 3 x 3 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 225144 = 2 x 2 x 2 x 3 x 3 x 53 x 59
Step 4: Therefore, the least common multiple of 472 and 477 is 225144.